Foundations of Quantum Optics for Quantum Information: Crash Course on Nonclassical States and Quantum Correlations

• URL: http://arxiv.org/abs/2601.20619v1
• Date: Wed, 28 Jan 2026 13:51:58 GMT
• Title: Foundations of Quantum Optics for Quantum Information: Crash Course on Nonclassical States and Quantum Correlations
• Authors: Jhoan Eusse, Esteban Vasquez, Tom Rivlin, Elizabeth Agudelo,
• Abstract summary: Notes provide an accessible yet rigorous introduction to the foundations of quantum optics.<n>Key families of states -- thermal, coherent, and squeezed -- are introduced.<n> Concepts of convexity, classicality, and quasiprobability representations are presented.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Nonclassical states of light and their correlations lie at the heart of quantum optics, serving as fundamental resources that underpin both the exploration of quantum phenomena and the realisation of quantum information protocols. These lecture notes provide an accessible yet rigorous introduction to the foundations of quantum optics, emphasising their relevance to quantum information science and technology. Starting from the quantisation of the electromagnetic field and the bosonic formalism of Fock space, the notes develop a unified framework for describing and analysing quantum states of light. Key families of states -- thermal, coherent, and squeezed -- are introduced as paradigmatic examples illustrating the transition from classical to nonclassical behaviour. The concepts of convexity, classicality, and quasiprobability representations are presented as complementary tools for characterising quantumness and defining operational notions such as P-nonclassicality. The discussion extends naturally to Gaussian states, composite systems, and continuous-variable entanglement, highlighting how nonclassicality serves as a resource for generating and quantifying quantum correlations. Theoretical developments are complemented by computational and experimental perspectives, including simulations of optical states using the Python library Strawberry Fields and data analysis from simulated data. Together, these notes aim to bridge the foundational concepts of quantum optics and modern quantum information, offering both conceptual insight and practical tools for students and researchers entering the field.

Related papers

• TASI/CERN/KITP Lecture Notes on "Toward Quantum Computing Gauge Theories of Nature" [0.0]
  lattice-gauge-theory continues to enable theoretical predictions for a range of phenomena in nature from the Standard Model.<n>The emergence of a new computational paradigm based on quantum computing can introduce further advances in this program.<n>These lecture notes introduce the topic of quantum computing lattice gauge theories in a pedagogical manner.
  arXiv  Detail & Related papers  (2025-07-21T17:52:01Z)
• Quantum-Accelerated Wireless Communications: Concepts, Connections, and Implications [59.0413662882849]
  Quantum computing is poised to redefine the algorithmic foundations of communication systems.<n>This article outlines the fundamentals of quantum computing in a style familiar to the communications society.<n>We highlight a mathematical harmony between quantum and wireless systems, which makes the topic more enticing to wireless researchers.
  arXiv  Detail & Related papers  (2025-06-25T22:25:47Z)
• VQC-MLPNet: An Unconventional Hybrid Quantum-Classical Architecture for Scalable and Robust Quantum Machine Learning [50.95799256262098]
  Variational quantum circuits (VQCs) hold promise for quantum machine learning but face challenges in expressivity, trainability, and noise resilience.<n>We propose VQC-MLPNet, a hybrid architecture where a VQC generates the first-layer weights of a classical multilayer perceptron during training, while inference is performed entirely classically.
  arXiv  Detail & Related papers  (2025-06-12T01:38:15Z)
• Quantum information elements in Quantum Gravity states and processes [0.0]
  We discuss basic features of quantum gravity states and processes, common to a number of related quantum gravity formalisms.<n>We show how entanglement is a seed of topological and geometric properties, and how a pre-geometric, discrete notion of quantum causality can be implemented.
  arXiv  Detail & Related papers  (2025-02-28T17:03:09Z)
• Quantum Information Processing, Sensing and Communications: Their Myths, Realities and Futures [61.25494706587422]
  The state-of-the-art, knowledge gaps and future evolution of quantum machine learning are discussed.<n>We conclude with a set of promising future research ideas in the field of ultimately secure quantum communications.
  arXiv  Detail & Related papers  (2024-12-01T22:28:02Z)
• Quantum Algorithms and Applications for Open Quantum Systems [1.7717834336854132]
  We provide a succinct summary of the fundamental theory of open quantum systems. We then delve into a discussion on recent quantum algorithms. We conclude with a discussion of pertinent applications, demonstrating the applicability of this field to realistic chemical, biological, and material systems.
  arXiv  Detail & Related papers  (2024-06-07T19:02:22Z)
• Separable Power of Classical and Quantum Learning Protocols Through the Lens of No-Free-Lunch Theorem [70.42372213666553]
  The No-Free-Lunch (NFL) theorem quantifies problem- and data-independent generalization errors regardless of the optimization process. We categorize a diverse array of quantum learning algorithms into three learning protocols designed for learning quantum dynamics under a specified observable. Our derived NFL theorems demonstrate quadratic reductions in sample complexity across CLC-LPs, ReQu-LPs, and Qu-LPs. We attribute this performance discrepancy to the unique capacity of quantum-related learning protocols to indirectly utilize information concerning the global phases of non-orthogonal quantum states.
  arXiv  Detail & Related papers  (2024-05-12T09:05:13Z)
• Information-theoretic generalization bounds for learning from quantum data [5.0739329301140845]
  We propose a general mathematical formalism for describing quantum learning by training on classical-quantum data. We prove bounds on the expected generalization error of a quantum learner in terms of classical and quantum information-theoretic quantities. Our work lays a foundation for a unifying quantum information-theoretic perspective on quantum learning.
  arXiv  Detail & Related papers  (2023-11-09T17:21:38Z)
• Quantum data learning for quantum simulations in high-energy physics [55.41644538483948]
  We explore the applicability of quantum-data learning to practical problems in high-energy physics. We make use of ansatz based on quantum convolutional neural networks and numerically show that it is capable of recognizing quantum phases of ground states. The observation of non-trivial learning properties demonstrated in these benchmarks will motivate further exploration of the quantum-data learning architecture in high-energy physics.
  arXiv  Detail & Related papers  (2023-06-29T18:00:01Z)
• From Classical to Quantum Information Geometry: A Guide for Physicists [0.0]
  The study of topological phases of matter characterized by Chern number is rooted in the symplectic structure of the quantum state space. The fidelity susceptibility has gained prominence as a universal probe of quantum criticality. The study of quantum Fisher information in many body systems has seen a surge of interest due to its role as a witness of genuine multipartite entanglement.
  arXiv  Detail & Related papers  (2023-02-27T04:32:59Z)
• The Hintons in your Neural Network: a Quantum Field Theory View of Deep Learning [84.33745072274942]
  We show how to represent linear and non-linear layers as unitary quantum gates, and interpret the fundamental excitations of the quantum model as particles. On top of opening a new perspective and techniques for studying neural networks, the quantum formulation is well suited for optical quantum computing.
  arXiv  Detail & Related papers  (2021-03-08T17:24:29Z)
• Quantum information spreading in a disordered quantum walk [50.591267188664666]
  We design a quantum probing protocol using Quantum Walks to investigate the Quantum Information spreading pattern. We focus on the coherent static and dynamic disorder to investigate anomalous and classical transport. Our results show that a Quantum Walk can be considered as a readout device of information about defects and perturbations occurring in complex networks.
  arXiv  Detail & Related papers  (2020-10-20T20:03:19Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.